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On flat geoodular spaces. (English) Zbl 0862.22003
Shelekhov, A. M. (ed.), Webs and quasigroups. Tver: Tver State University. 4-9 (1992).
A purely algebraic proof is given that every flat geoodular space is an affine space and vice versa. Another (differential geometric) proof was given earlier by the same author (see also the book of O. Chein, H. Pflugfelder and J. D. H. Smith (eds.) [Quasigroups and loops: theory and applications (Berlin 1990; Zbl 0719.20036)]).
For the entire collection see [Zbl 0748.00014].

MSC:
22A30 Other topological algebraic systems and their representations
53B05 Linear and affine connections
20N05 Loops, quasigroups
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